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LCM of 606, 242, 366, 548, 358

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 606, 242, 366, 548, 358 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 606, 242, 366, 548, 358. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 606,242,366,548,358

Given numbers are 606,242,366,548,358

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 606,242,366,548,358 is 219377166756.

Find LCM of 606,242,366,548,358 with Prime Factorization


2 606, 242, 366, 548, 358
3 303, 121, 183, 274, 179
101, 121, 61, 274, 179

Multiply the prime numbers at the bottom and the left side.

2 x 3 x 101 x 121 x 61 x 274 x 179 = 219377166756

Therefore, the lowest common multiple of 606,242,366,548,358 is 219377166756.

LCM Formula to Find Lowest Common Multiple of 606,242,366,548,358

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

606 x 242 x 366 x 548 x 358 = 10530104004288

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

606 : 1, 2, 3, 6, 101, 202, 303, 606

242 : 1, 2, 11, 22, 121, 242

366 : 1, 2, 3, 6, 61, 122, 183, 366

548 : 1, 2, 4, 137, 274, 548

358 : 1, 2, 179, 358

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 606,242,366,548,358, is 2.

Now, the common factors can be found like this.

606:2x 3x 101

242:2x 11x 11

366:2x 3x 61

548:2x 2x 137

358:2x 179

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 3 = 24

Therefore, the value for common factors is 24.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 10530104004288/(2x24)

LCM = 10530104004288/48

LCM = 219377166756

Thus, we can understand that the LCM of 606,242,366,548,358 is 219377166756.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 606, 242, 366, 548, 358

1. What is the LCM of 606, 242, 366, 548, 358?

Answer: LCM of 606, 242, 366, 548, 358 is 219377166756.

2. How to calculate the LCM of 606, 242, 366, 548, 358?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 606, 242, 366, 548, 358.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.